Extends the classical fundamental theorem of surface theory to proper frontals, singular surfaces with empty interior singular set, using a moving-base decomposition and characterizing wave fronts via new relative curvatures.
Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space
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abstract
We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.
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math.DG 1years
2019 1verdicts
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The fundamental theorem for singular surfaces with limiting tangent planes
Extends the classical fundamental theorem of surface theory to proper frontals, singular surfaces with empty interior singular set, using a moving-base decomposition and characterizing wave fronts via new relative curvatures.